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f(x) = square root 2x
g(x) = square root 50x

find (f • g)(x). assume x is greater than or equal to 0

Fx Square Root 2x Gx Square Root 50x Find F Gx Assume X Is Greater Than Or Equal To 0 class=

Sagot :

[tex]\\ \sf\longmapsto (f.g)(x)[/tex]

[tex]\\ \sf\longmapsto f(x).g(x)[/tex]

[tex]\\ \sf\longmapsto \sqrt{2x}.\sqrt{50x}[/tex]

[tex]\\ \sf\longmapsto \sqrt{100x^2}[/tex]

[tex]\\ \sf\longmapsto 10x[/tex]

The multiplication of the f(x) and g(x) is 10x or (f • g)(x) = 10x option (C) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

f(x) = √(2x)

g(x) = √(50x)

(f • g)(x) = f(x)×g(x)  = √(2x)×√(50x)

(f • g)(x) = √[(2x)(50x)]

(f • g)(x) = √(100x²)

(f • g)(x) = 10x

Thus, the multiplication of the f(x) and g(x) is 10x or (f • g)(x) = 10x option (C) is correct.

Learn more about the function here:

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